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Integrated Nested Laplace Approximations (INLA) has been a successful approximate Bayesian inference framework since its proposal by Rue et al. (2009). The increased computational efficiency and accuracy when compared with sampling-based…

统计方法学 · 统计学 2025-10-02 Janet van Niekerk , Elias Krainski , Denis Rustand , Haavard Rue

This work extends the Integrated Nested Laplace Approximation (INLA) method to latent models outside the scope of latent Gaussian models, where independent components of the latent field can have a near-Gaussian distribution. The proposed…

统计计算 · 统计学 2016-08-14 Thiago G. Martins , Håvard Rue

Modeling longitudinal and survival data jointly offers many advantages such as addressing measurement error and missing data in the longitudinal processes, understanding and quantifying the association between the longitudinal markers and…

This is a short description and basic introduction to the Integrated nested Laplace approximations (INLA) approach. INLA is a deterministic paradigm for Bayesian inference in latent Gaussian models (LGMs) introduced in Rue et al. (2009).…

统计计算 · 统计学 2019-07-03 Sara Martino , Andrea Riebler

Various computational challenges arise when applying Bayesian inference approaches to complex hierarchical models. Sampling-based inference methods, such as Markov Chain Monte Carlo strategies, are renowned for providing accurate results…

统计方法学 · 统计学 2022-03-29 Cristian Chiuchiolo , Janet van Niekerk , Håvard Rue

Measurement error and missing data in variables used in statistical models are common, and can at worst lead to serious biases in analyses if they are ignored. Yet, these problems are often not dealt with adequately, presumably in part…

统计方法学 · 统计学 2024-06-13 Emma Skarstein , Stefanie Muff

We introduce a new copula-based correction for generalized linear mixed models (GLMMs) within the integrated nested Laplace approximation (INLA) approach for approximate Bayesian inference for latent Gaussian models. While INLA is usually…

统计计算 · 统计学 2015-12-16 Egil Ferkingstad , Håvard Rue

The integrated nested Laplace approximations (INLA) method has become a widely utilized tool for researchers and practitioners seeking to perform approximate Bayesian inference across various fields of application. To address the growing…

统计计算 · 统计学 2023-11-15 Esmail Abdul-Fattah , Janet Van Niekerk , Haavard Rue

The integrated nested Laplace approximation (INLA) method has become a popular approach for computationally efficient approximate Bayesian computation. In particular, by leveraging sparsity in random effect precision matrices, INLA is…

统计方法学 · 统计学 2024-07-02 Finn Lindgren , Fabian Bachl , Janine Illian , Man Ho Suen , Håvard Rue , Andrew E. Seaton

Integrated Nested Laplace Approximation provides a fast and effective method for marginal inference on Bayesian hierarchical models. This methodology has been implemented in the R-INLA package which permits INLA to be used from within R…

统计计算 · 统计学 2021-06-01 Virgilio Gomez-Rubio , Roger S. Bivand , Håvard Rue

The Integrated Nested Laplace Approximation (INLA) is a convenient way to obtain approximations to the posterior marginals for parameters in Bayesian hierarchical models when the latent effects can be expressed as a Gaussian Markov Random…

统计计算 · 统计学 2017-02-14 Virgilio Gómez-Rubio , Francisco Palmí-Perales

The estimation of unknown parameters in simulations, also known as calibration, is crucial for practical management of epidemics and prediction of pandemic risk. A simple yet widely used approach is to estimate the parameters by minimizing…

统计方法学 · 统计学 2023-06-26 Chih-Li Sung , Ying Hung

In recent years, spatial and spatio-temporal modeling have become an important area of research in many fields (epidemiology, environmental studies, disease mapping). In this work we propose different spatial models to study hospital…

应用统计 · 统计学 2010-06-21 Erik A. Sauleau , Valentina Mameli , Monica Musio

Latent Gaussian models are an extremely popular, flexible class of models. Bayesian inference for these models is, however, tricky and time consuming. Recently, Rue, Martino and Chopin introduced the Integrated Nested Laplace Approximation…

统计计算 · 统计学 2011-05-17 Daniel Simpson , Finn Lindgren , Håvard Rue

The Integrated Nested Laplace Approximation (INLA) is a deterministic approach to Bayesian inference on latent Gaussian models (LGMs) and focuses on fast and accurate approximation of posterior marginals for the parameters in the models.…

统计计算 · 统计学 2021-03-05 Martin Outzen Berild , Sara Martino , Virgilio Gómez-Rubio , Håvard Rue

State-space models are used to describe and analyse dynamical systems. They are ubiquitously used in many scientific fields such as signal processing, finance and ecology to name a few. Particle filters are popular inferential methods used…

统计计算 · 统计学 2024-12-20 Alaa Amri

The investment of time and resources for better strategies and methodologies to tackle a potential pandemic is key to deal with potential outbreaks of new variants or other viruses in the future. In this work, we recreated the scene of a…

机器学习 · 计算机科学 2021-04-22 Andrés L. Suárez-Cetrulo , Ankit Kumar , Luis Miralles-Pechuán

Fitting cross-classified multilevel models with binary response is challenging. In this setting a promising method is Bayesian inference through Integrated Nested Laplace Approximations (INLA), which performs well in several latent variable…

统计计算 · 统计学 2016-07-21 Leonardo Grilli , Francesco Innocenti

Misclassified variables used in regression models, either as a covariate or as the response, may lead to biased estimators and incorrect inference. Even though Bayesian models to adjust for misclassification error exist, it has not been…

统计方法学 · 统计学 2024-11-26 Emma Skarstein , Leonardo Soares Bastos , Håvard Rue , Stefanie Muff

The purpose of many health studies is to estimate the effect of an exposure on an outcome. It is not always ethical to assign an exposure to individuals in randomised controlled trials, instead observational data and appropriate study…

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